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Simplifying 3(8j + -10) = 5(j + 5) Reorder the terms: 3(-10 + 8j) = 5(j + 5) (-10 * 3 + 8j * 3) = 5(j + 5) (-30 + 24j) = 5(j + 5) Reorder the terms: -30 + 24j = 5(5 + j) -30 + 24j = (5 * 5 + j * 5) -30 + 24j = (25 + 5j) Solving -30 + 24j = 25 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -30 + 24j + -5j = 25 + 5j + -5j Combine like terms: 24j + -5j = 19j -30 + 19j = 25 + 5j + -5j Combine like terms: 5j + -5j = 0 -30 + 19j = 25 + 0 -30 + 19j = 25 Add '30' to each side of the equation. -30 + 30 + 19j = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 19j = 25 + 30 19j = 25 + 30 Combine like terms: 25 + 30 = 55 19j = 55 Divide each side by '19'. j = 2.894736842 Simplifying j = 2.894736842
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